Gasly and Kvyat will form an odd Red Bull rejects duo at Toro Rosso for the remainder of the season, although the Russian's resurgence this year may provide his new team-mate with inspiration to turn his own fortunes around.
Red Bull have confirmed that Gasly, Albon and Kvyat are all under consideration to partner Max Verstappen next year. Kvyat believes the Thai driver's lack of experience in the top team was a factor in Dr Helmut Marko handing him the opportunity to impress.
Kvyat told Championat: Everything is fine with my results. I think they just want to see how Albon will perform behind the wheel of a car that is able to win, and with a partner like Verstappen.
"I have already been to Red Bull, this also played a role in the selection.
"So far, there has been only one short conversation. Everything that will happen after 2019 is still unclear. I think we need to wait another two to three weeks - and then the prospects will become more clear.
"I had no problems with the decision."
Kvyat had been tipped to fill Gasly's shoes after taking a superb third-place finish at the crazy German Grand Prix, just Toro Rosso's second podium finish in their F1 history.
"Everyone was happy, it was a wonderful day for the team," he said.
"In some respects, the achievement could be called historical - after all, it was 11 years since the last podium. I drove a lot of races for this team, so I am very glad that I was able to thank them in this way."
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